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The Case of the Mystery Option


Hi Group;
 In Roman Maeder's excellent book Programming in Mathematica, on 
page 100 is an example using the option to Transpose.  (Up until 
this moment, I didn't even know there was an option with Transpose, 
but never mind this.)  In essence,  Transpose[mat,{1,1}] returns 
a list of the diagonal entries of the matrix  mat.  With the 
exception of this one example, I have never seen an illustration 
of the use of this option.  So I ask you kind souls to answer a 
few questions for me:

(1)  Is it true that the 2nd line on page 132 of The Book is a 
misprint?  It says that  Transpose[list,n] interchanges the top 
level with the nth level.

(2)  From the error messages I have received while experimenting 
with this option, I have deduced that the option is a permutation.
It permutes levels?  Is this correct?

(3)  How does one explain Maeder's example?

(4)  I guess that besides the Maeder example, the only other uses 
appears in Tensors?

  As usual, your help is more than appreciated.

Jack 
	
 



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